Definition:Non-Pythagorean Prime/Sequence

Sequence

The sequence of non-Pythagorean primes begins:

$\begin{array} {r | r }

p & 4 n + 3 \\ \hline 3 & 4 \times 0 + 3 \\ 7 & 4 \times 1 + 3 \\ 11 & 4 \times 2 + 3 \\ 19 & 4 \times 4 + 3 \\ 23 & 4 \times 5 + 3 \\ 31 & 4 \times 7 + 3 \\ 43 & 4 \times 10 + 3 \\ 47 & 4 \times 17 + 3 \\ \end{array}$

This sequence is A002145 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $13$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $13$